The length of PD is 6 units given that he coordinate of P is -7 and the coordinate of D is -1.
We are given that the coordinate of point P is - 7 and the coordinate of point D is - 1
We need to find the distance between the point P and point D.
The length of PD is the distance between point P and point D which will be calculated as:
PD = | P + D |
Substituting the values, we get that:
PD = | - 7 + - 1 |
PD = | - 6 |
PD = 6 units.
Therefore, the length of PD is 6 units given that he coordinate of P is -7 and the coordinate of D is -1.
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write an equation of the line through the two points -1,-6 and 3,-14
Answer: an equation of the line in slope-intercept form (y=mx+b) is
y = -2x - 8
A scientist uses a submarine to study ocean life.
She begins 133 feet below sea level.
After descending for 4 seconds, she's 225 feet below sea level.
Find the rate of change in the submarine's elevation in feet per second. Round your
answer to the nearest tenth.
The Rate of the change of position per second is 23 feet.
According to the statement
We have to find that the rate of the change of the position in the sea level.
So, For this purpose, we know that the
Rate of change is used to mathematically describe the percentage change in value over a defined period of time
From the given information:
She begins 133 feet below sea level.
After descending for 4 seconds, she's 225 feet below sea level.
Then
Rate of the change of position is = final position - initial position / time
Rate of the change of position is = 225 - 133 / 4
Rate of the change of position is = 92 / 4
Rate of the change of position is = 23.
So, The Rate of the change of position per second is 23 feet.
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Ashley is the oldest of four siblings whose ages are consecutive even integers. If the sum of their ages is 100, find Ashley's age.
Answer:
Ashleys age is 28.
Step-by-step explanation:
When finding numbers that are consecutive, I like to divide the sum in this case, 100 by the number of people or things, in this case, the 4 siblings. The sum is 100 and there are 4 of them so we divide them first.
100÷4=25 so our answer must be around there. The question states that the ages must be even. So the even numbers in the range of lets say 20-30 are 20, 22, 24, 26, 28 and 30. Closest four numbers to 25 are 22, 24, 26 and 28. We must have two numbers below 25 and two numbers above 25. So we will keep 22,24,26 and 28. If you add them together, then you'll get 100! Since we are looking for Ashley's age which is the oldest, her age will be 28 as 28 is the highest number out the four numbers (22,24,26,28)
Good Luck and hope this helped! <33
A ball is thrown from an initial height of 2 feet with an initial upward velocity of 38 ft/s. The ball's height h (in feet) after / seconds is given by the following.
h=2+38t-16t^2
Find all values off for which the ball's height is 16 feet.
The height of the ball according to the function h(t) is 16 feet after 1.92 seconds and after 0.46 seconds.
A function is defined as a expression containing one or more variables.
Technically speaking, a function is a means of linking a set of inputs to a set of outputs.
The height of the ball at any time t is given by the function:
[tex]h(t)=-16t^2+38t+2[/tex]
Now the required height of the ball(in feet) is 16 feet. We have to find the value of t for which h(t)=16.
Let us substitute the values:
[tex]\implies h(t)=-16t^2+38t+2\\\implies 16=-16t^2+38t+2\\\implies 16t^2-38t+14=0\\\implies 8t^2-19t+7=0[/tex]
This is in the form of a quadratic equation in t.
Solving by using the quadratic formula:
We know that for a quadratic equation [tex]ax^2+bx+c=0[/tex]
[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Therefore for the above quadratic equation:
[tex]t=\frac{-(-19)\pm \sqrt{(-19)^2-4(8)(7)}}{2(8)}\\t=\frac{19+\sqrt{137}}{8},t=\frac{19-\sqrt{137}}{8}\\t=1.919...,t=0.455...[/tex]
Therefore the ball reaches the height of 16 feet at times 1.92 seconds and at 0.46 seconds.
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The lowest form of this fraction 49/100
The lowest form of this fraction 49/100 is still 49/100.
How to compute the value?It should be noted that a fraction can only be reduced to its lowest term if it has a common factor.
In this case, there is no common factor between 49 and 100.
Therefore, the lowest form of this fraction 49/100 is still 49/100
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The temperature drops to 15 degrees below zero. What is a real world example to make 0 in this situation?
Here are the examples that combine to make zero:
Two month ago, the temperature was 15 degrees. This morning, the temperature dropped to 15 degrees below zero.
Michael has $0 in his account. He makes a purchase of $75. Later in the day, he deposits 75 in the account.
An elevator rises to the ninth floor and she then takes the elevator from the ninth floor to the ground floor.
The parking garage is located 4 floors below ground level. But, her office is 4 floors above ground level.
What are the real world examples?
In order for the examples to combine to make zero, there has to be a positive number and a negative number. A positive number is a number that is greater than zero. A negative number is a number that is less than zero.
In order for the positive and negative number to make zero, they have to be added together. Addition is determining the total value or summing two or more numbers. Addition is one of the four basic operations in mathematics.
Two month ago, the temperature was 15 degrees. This morning, the temperature dropped to 15 degrees below zero. -15 + 15 = 0
Michael has $0 in his account. He makes a purchase of $75. Later in the day, he deposits 75 in the account. - 75 + 75 = 0
An elevator rises to the ninth floor and she then takes the elevator from the ninth floor to the ground floor. + 9 - 9 = 0
The parking garage is located 4 floors below ground level. But, her office is 4 floors above ground level. = -4 + 4 = 0
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can someone help me with this?
The value of the function f(-4) = 16.
What is termed as the function?A function is categorized as a relationship between a set of inputs that each have one output.
A function is an association between inputs in which each input is connected to exactly one output. Each function has a domain as well as a co domain, as well as a range. In general, a function is denoted by f(x), where x is really the input.For the given function in the question;
f(x) = x ² , if x < 0.
f(x) = 0 , if x = 0.
f(x) = 2x + 1 , if x > 0
Now, estimate the values;
(a) f(-4)
As, the value of the x to be substitute is negative, the function used will be.
f(x) = x ² ,for x < 0.
Put the value x = -4
f(-4) = (-4)²
f(-4) = 16
The value of f(-4) = 16.
(b) f(0)
As the value of function is zero.
Then,
f(x) = 0 , if x = 0.
Put x = 0 in function we will get.
f(x) = 0.
(c) f(2)
As the value to be substituted is positive, the function used is;
f(x) = 2x + 1 , if x > 0
Put x = 2
f(2) = 4 + 1
f(2) = 5
Thus, the value of f(2) is 5.
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Kyla earns $21 per hour tutoring student-athletes at Eastern University. If Kyla tutored for 12 hours this month, how much money did she earn this month?
Answer: $252
Step-by-step explanation:
21$ an hour x 12 hours = $252 total :)
Answer:
She earned $252 thsi month.
Step-by-step explanation:
1 hour = $21
12 hours = $?
21*12 = 252
Divide -3 1/7 divided 7 2/6. Explain each step you used to find the quotient.
Answer:
-3/7
Step-by-step explanation:
[tex]-3\frac{1}{7} / 7 \frac{2}{6}[/tex]
[tex]-3 \frac{1}{7} = \frac{-22}{7}[/tex]
[tex]7\frac{2}{6} = 7\frac{1}{3} = \frac{22}{3}[/tex]
[tex]\frac{\frac{-22}{7} }{\frac{22}{3} }[/tex][tex]= \frac{-22}{7} * \frac{3}{22} = \frac{-3}{7}[/tex]
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ABCD is an area in the shape of rhombus in which
120°. Find the measure of
If u answer will mark brainlyest and will give 40 points
Answer:
The measure of <CDO and <DCo are 60° and 30°.
Step-by-step explanation:
∠CDO = 1/2 ∠CDA
= 1/2 (120)° = 60°
∠ADC + ∠DCB = 180°
120° + ∠DCB = 180°
⇒ ∠DCB = 180° – 120° = 60°
∠DCO = 1/2 ∠DCB
= 1/2 (60°) = 30°
I hope this helps, have a good day! :D
What number should be added to -28 to make the sum 0? (5 points) 28 -28 27 0
Answer:
28
Step-by-step explanation:
-28 + 28 = 0
In a baseball league consisting of 13 teams, each team plays each of the other teams twice. How many games will be
played?
Answer:
156 games
Step-by-step explanation:
You want to know the total number of games when each of 13 teams plays every other team exactly twice.
GamesEach of the 13 teams will meet 12 others, for a total of 13×12 = 156 meetings.
This total counts the time team 1 meets team 2, and also the time team 2 meets team 1. In other words, this is exactly the game count we're looking for.
156 games will be played.
__
Alternate solution
Team 1 will meet teams 2 through 13, for a total of 12 games. Team 2 has already met team 1, so will need to meet teams 3 through 12 for a total of 11 games. When we count all the games for one meeting between teams, we find the count to be 12 +11 +10 +9 +... +1 = (12)(13)/2 = 78.
If the teams are to meet twice, then 2 times this number of games will be played: 2(78) = 156.
The sum of integers 1 .. n is (n)(n+1)/2.
A rectangular block has a mass of 1088g. The dimensions of the block are 8cm by 5cm by 4cm. What is the density of the block?
Answer:
277g / 40cm³
Step-by-step explanation:
Density = mass / volume
In this case:
volume = 8cm*5cm*4cm = 160cm³
then:
Density = 1088g / 160cm³ = 544g/80cm³ = 277g/40cm³
whats the answer
to 0.75(8+e)=2-1.25e
The value of e from the given equation is -1.78
Linear functionsLinear functions are function that has a leading degree of 1
Given the expression below;
0.75(8+e)=2-1.25e
Expand to have;
0.75(8) + 0.75e = 2-1.25e
6 + 0.75e = 2 - 1.5e
6-2 = -1.5e - 0.75e
4 = -2.25e
e = 4/-2.25
e = -1.78
Hence the value of e from the given equation is -1.78
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when x=6 and y=3, which of the expressions below will be greater than 100?
Answer:6 will be greater
Step-by-step explanation:
Esteban bought a desk lamp at a sale price of $20.25. The original price of the lamp was $45. What was the discount rate of the desk lamp?
Answer:
55%
Step-by-step explanation:
Ans
65.25 Step-by-step explanation:
(PLEASE HELP ANSWER THIS QUESTION QUICK) (and correctly please)
Analyze the following using a Venn diagram. Choose the best
answer.
"All plants have cells. Irises have cells. Therefore, irises are
plants."
1 Valid The inner circle is those with cells and the outer circle is plants
2 invalid. The inner circle is plants, and the outer circle is those with cells.
3 Invalid. The inner circle is things with cells, and the outer circle is plants
Answer: Choice 2
invalid. The inner circle is plants, and the outer circle is those with cells.
=========================================================
Further Explanation:
If we throw a dart at random, and we land in the inner circle (plants), then we automatically land in the outer circle (has cells).
Now imagine the dart landed in the "has cells" circle, but outside the smaller circle. This could be stuff like animal cells, bacteria, etc. So just because something has cells it does not automatically make it a plant. Saying "an iris has cells" is not enough info to be able to tell it's a plant or not. This means the conclusion of "irises are plants" is shaky at best.
This is why the overall argument structure is invalid.
For more information, check out the concept of "affirming the consequent" which is a common fallacy people make.
answer for
D=
E=
F=
Construct a polynomial function that might have the graph. Yes, you guessed
it, there could be more than one answer! Only give me one of the possibilities.
Leave your answer in factored form.
There is a 'strike-through' root at -1 and a double root at 2, so the equation is of the form
[tex]y=a(x+1)^3 (x-2)^2[/tex]
Since the y-intercept is 4,
[tex]4=a(0+1)^3(0-2)^2 \implies 4a=4 \implies a=1 \\ \\ \therefore \boxed{y=(x+1)^3 (x-2)^2}[/tex]
For the following equation, find three ordered pair solutions by completing the table. Then use the ordered pairs to graph the equation.
y = - 4x + 8
The graph of the linear equation can be seen in the image below.
How to complete the table?
Here we have the linear equation:
y = -4x + 8
And we want to find 3 ordered pairs, to do so, we need to evaluate x in different values.
if x = 0 then:
y = -4*0 + 8 = 8
So we have the ordered pair (0, 8).
if x = 1 then:
y = -4*1 + 8 = 4
Then we have the ordered pair (1, 4)
If x = 2 then:
y = -4*2 + 8 = 0
Then we have the ordered pair (2, 0).
Now that we have these 3 ordered pairs, we can graph them in a coordinate axis and then connect them with a line, we will get something like the graph below.
That is the graph of our linear equation:
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1/18 as a decimal equivalent to a rational number
The representation of 1 / 8 in decimal form will be 0.125 and it is a rational number as it is a terminating decimal.
We are given a fraction:
1 / 8.
We have to represent it as a decimal and tell that it is a rational number.
To write it as a decimal, First we will make the denominator a multiple of 10:
1 / 8 × 125 / 125 = 125 / 1000.
Now writing it in the decimal form, we get that:
= 0.125.
Now, we can see that it is a non repeating terminating number.
So, we can say that it is a rational number.
Therefore, the representation of 1 / 8 in decimal form will be 0.125 and it is a rational number as it is a terminating decimal.
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- 8/32 in simplistic form
Which graph shows a function where f(2)=4?
Answer:
The correct option is 1.
Step-by-step explanation:
We have to find a function where f(2)=4. It means the value of function is 4 at x=2.
In graph 1, the value of function is 4 at x=2, therefore option 1 is correct.
In graph 2, the value of function is -4 at x=2, therefore option 2 is incorrect.
In graph 3, the value of function is not shown in the graph at x=2, therefore option 3 is incorrect.
In graph 4, the value of function is not shown in the graph at x=2, therefore option 4 is incorrect.
Thus, correct option is 1.
Identify the intercepts
angles are measured in _________
3-11-(-6) subtract this and thank youuuuuu
Answer:
3-11-(-6)
the answer will be
-2
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Hi please help me with this question
Using the graph of f, determine f(4).
Answer:
f(4) = 5
Step-by-step explanation:
locate x = 4 on the x- axis, go vertically up to meet the line at (4, 5 ) , then
f(4) = 5
a 3 gallon bottle of bleach costs 15.84. what is the price per cup?
Answer: $0.33 per cup
Step-by-step explanation:
15.84/3 to find the price per 1 gallon.
15.84/3 = 5.28 per gallon
There are 16 cups in a gallon, so divide the price of a single gallon by 16.
5.28/16 = price per cup
5.28/16 = .33
The price for each cup of bleach is $0.33.
April wants to borrow $200 from her father and is willing to pay $9 in Interest. Her father wants to charge an interest rate of 6%. How long can April keep the money?
Answer:
principle (p)= $200
interest (I) =$9
Rate (R) = 6%
time (T)= ?
we know,
Time(T) = I×100÷P×R
= 9×100÷ 200×6
= 3÷4 years
